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Finding the Fourth Proportional to 298,087.56, 447,131.28 and 76,471.56

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Solution

The fourth proportional to 298,087.56, 447,131.28 and 76,471.56 is: 114,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,087.56 : 447,131.28 = 76,471.56 : x
  2. Step 2: Convert to fraction form
    298,087.56/447,131.28 = 76,471.56/x
  3. Step 3: Cross multiply
    298,087.56x = 447,131.28 × 76,471.56
  4. Step 4: Simplify right side
    298,087.56x = 34,192,826,506.40
  5. Step 5: Solve for x
    x = 34,192,826,506.40/298,087.56
  6. Step 6: Final answer
    x = 114,707.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.